Chapter 12 - Organic Chemistry: Some Basic Principles and Technique

Practise This Question

The wave function, Ψn,l,ml is a methematical function whose value depends upon spherical polar coordinates (r, θ, Ф) of the electron and characterized by the quantum numbers n, l and m. Here r is distance from nucleus, θ is colatitude and Ф is azimuth. In the mathematical functions given in the Table, Z is atomic number and a0 is Bohr radius.

Column 1

Column 2

Column 3

(i) 1s orbital

(i) Ψn,l,ml∝(Za0)32e(−Zra0)

(P)

(ii) 2s orbital

(ii) One radial node

(Q) Probability density at nucleus ∝1a30

(iii) 2 pz orbital

(iii) Ψn,l,ml∝(Za0)52re(−Zr2a0)cosθ

(R) Probability density is maximum at nucleus

(iv) 3d2z orbital

(iv) xy-plane is a nodal plane

(S) Energy needed to excite electron from n = 2 state to n = 4 state is2732 times the energy needed to excite electron from n = 2 state to n = 6 state